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24 August, 06:25

Alvin's first step in solving the given system of equations is to multiply the first equation by 2 and the second equation by - 3. Which linear combination of Alvin's system of equations reveals the number of solutions to the system?

9x + 4y = 36

6x + 2.5y = 24

+3
Answers (2)
  1. 24 August, 06:48
    0
    After multiplying by the stated coefficients and adding, the equation obtained is:

    8y - 7.5y = 0

    y = 0

    x = 4

    Because the two equations formed were independent, they had one solution.
  2. 24 August, 06:48
    0
    The answer

    9x + 4y = 36 (times 2) implies 18x + 8y = 72 (a)

    6x + 2.5y = 24 (times - 3) imiplies 18x + 7.5y = 72 (b)

    so (a) - (b) 8-7.5) y=0, and y=0

    when y=o 18x + 8. 0 = 72 implies x = 4

    so the solution is (4,0)
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